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468040804 = 2271117711259
BaseRepresentation
bin11011111001011…
…011110001100100
31012121200221021121
4123321123301210
51424304301204
6114235423324
714412165310
oct3371336144
91177627247
10468040804
11220218a90
121108b4b44
1375c7542a
1446236b40
152b153b54
hex1be5bc64

468040804 has 96 divisors (see below), whose sum is σ = 1097349120. Its totient is φ = 169075200.

The previous prime is 468040801. The next prime is 468040829. The reversal of 468040804 is 408040864.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 468040804.

It is not an unprimeable number, because it can be changed into a prime (468040801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371127 + ... + 372385.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2468040804 is an apocalyptic number.

468040804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468040804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

468040804 is an abundant number, since it is smaller than the sum of its proper divisors (629308316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468040804 is a wasteful number, since it uses less digits than its factorization.

468040804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 468040804 is about 21634.2507150121. The cubic root of 468040804 is about 776.4161710874.

The spelling of 468040804 in words is "four hundred sixty-eight million, forty thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 71 77 119 142 154 187 238 284 308 374 476 497 748 781 994 1207 1259 1309 1562 1988 2414 2518 2618 3124 4828 5036 5236 5467 8449 8813 10934 13277 13849 16898 17626 21403 21868 26554 27698 33796 35252 42806 53108 55396 85612 89389 92939 96943 149821 178778 185878 193886 235433 299642 357556 371756 387772 470866 599284 625723 941732 983279 1251446 1519613 1648031 1966558 2502892 3039226 3296062 3933116 6078452 6592124 6882953 10637291 13765906 16715743 21274582 27531812 33431486 42549164 66862972 117010201 234020402 468040804